stuck in a selected option
This orange dot is the origin of the object which will be visible in all modes (Object, edit and pose(armatures) modes), so it's not the vertex, as shown below:



If you press A to select all vertices then you will find the vertices highlighted as shown below:



You can select 1 vertex using RightClick then move it using G as shown below:



The edges are blue because they are marked. There are five types of markings you can apply to edges. The following is the basic colour scheme:


Red - UV seam
Pink - Edge crease
Blue - Sharp edge
Green - Freestyle edge
Orange - Bevel weight


To clear the mark edges yourself from Edit Mode, go to the Edge menu (Ctrl+E) then choose Clear Sharp as shown below:


Then edges will be orange again as normal as shown below: